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math.DG2010★ 12 cited
Doubling and Desingularization Constructions for Minimal Surfaces
Nikolaos Kapouleas
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Ri…
math.DG2010★ 4 cited
Twisted products and -invariant special Lagrangian cones
Mark Haskins, Nikolaos Kapouleas
We construct $\sorth{p} \times \sorth{q}$-invariant special Lagrangian (SL) cones in $\C^{p+q}$. These SL cones are natural higher-dimensional analogues of the $\sorth{2}$-invarian…